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2 years ago

What is the Slope of the line ?

Mathematics

1 answer:

prohojiy [21]2 years ago

5 0

Answer:

Step-by-step explanation:

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Find p and q for which the linear eqn has infinite solutions

jekas [21]

Answer:

p= 2.5

q= 7

Step-by-step explanation:

The lines should overlap to have infinite solutions, slopes should be same and y-intercepts should be same.

Equations in slope- intercept form:

6x-(2p-3)y-2q-3=0 ⇒ (2p-3)y= 6x -2q-3 ⇒ y= 6/(2p-3)x -(2q+3)/(2p-3)

12x-( 2p-1)y-5q+1=0 ⇒ (2p-1)y= 12x - 5q+1 ⇒ y=12/(2p-1)x - (5q-1)/(2p-1)

Slopes equal:

6/(2p-3)= 12/(2p-1)

6(2p-1)= 12(2p-3)

12p- 6= 24p - 36

12p= 30

p= 30/12

p= 2.5

y-intercepts equal:

(2q+3)/(2p-3)= (5q-1)/(2p-1)

(2q+3)/(2*2.5-3)= (5q-1)/(2*2.5-1)

(2q+3)/2= (5q-1)/4

4(2q+3)= 2(5q-1)

8q+12= 10q- 2

2q= 14

q= 7

7 0

3 years ago

Which of the following is most likely the next step in the series?

REY [17]

Answer:

Step-by-step explanation:

blue and next line

7 0

3 years ago

In ΔDEF, the measure of ∠F=90°, DE = 70 feet, and EF = 57 feet. Find the measure of ∠D to the nearest tenth of a degree.

kondor19780726 [428]

Answer:

54.5°

Step-by-step explanation:

You know that in a right triangle, the sine of an angle is given by ...

Sin = Opposite/Hypotenuse

sin(D) = EF/ED = 57/70

The inverse sine function is used to find the angle:

∠D = arcsin(57/70)

∠D ≈ 54.5°

5 0

2 years ago

Three-eighths of the teachers at Naran's school are men, and 30 of the teachers are women. (Each teacher is either a man or a wo

Vlad1618 [11]

48 teachers 30 w 18 m

5/8=30

3/8=x

5/8 x =3/8 30

remove 8 from both sides

5x=90

x=18

5 0

2 years ago

katen-ka-za [31]

Answer:

1.2 litres more water should Josie drink.

Step-by-step explanation:

As given

It is recommended that an adult drink 64 fluid ounces of water everyday .

As given

1 ounce = 0.0296 litre .

Now convert 64 ounces into litre.

64 ounce = 64 × 0.0296

= 1.9 litres (Approx)

1 litre = 1000 ml

$1\ ml= \frac{1}{1000}\ litre$

Now convert 700 ml into litre.

$700\ ml= \frac{700}{1000}\ litre$

$700\ ml= \frac{7}{10}\ litre$

700 ml = 0 .7 litre

Thus

Recommended amount of water a adult should drink = Amount of water Josie already consumed + More water should Josie drink.

Putting the value

1.9 litres = 0 .7 litres + More water should Josie drink.

More water should Josie drink = 1.9 - 0.7

More water should Josie drink = 1.2 litres .

Therefore 1.2 litres more water should Josie drink.

8 0

2 years ago